399827761766400 has 1008 divisors, whose sum is σ = 1490247258365664. Its totient is φ = 93799710720000.

The previous prime is 399827761766387. The next prime is 399827761766417. The reversal of 399827761766400 is 4667167728993.

It is a super-2 number, since 2×399827761766400² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (75).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6494791620 + ... + 6494853180.

Almost surely, 2^{399827761766400} is an apocalyptic number.

399827761766400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 399827761766400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (745123629182832).

399827761766400 is an abundant number, since it is smaller than the sum of its proper divisors (1090419496599264).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

399827761766400 is a wasteful number, since it uses less digits than its factorization.

399827761766400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61673 (or 61613 counting only the distinct ones).

The product of its (nonzero) digits is 1152216576, while the sum is 75.

The spelling of 399827761766400 in words is "three hundred ninety-nine trillion, eight hundred twenty-seven billion, seven hundred sixty-one million, seven hundred sixty-six thousand, four hundred".